Question

Find the values of angles x, y, and z.​

Answer 1

x = 80, y = 140 and z = 20

Explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 angles in the triangle with x and equate to 180

x + 60 + 40 = 180

x + 100 = 180 ( subtract 100 from both sides )

x = 80

40° and y form a straight angle and are supplementary, hence

40 + y = 180 ( subtract 40 from both sides )

y = 140

Sum the 3 angles in the triangle with z and equate to 180

z + y + 20 = 180, that is

z + 140 + 20 = 180

z + 160 = 180 ( subtract 160 from both sides )

z = 20